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Finding the Fourth Proportional to 27,970.32, 38,600.04 and 15,396.24

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Solution

The fourth proportional to 27,970.32, 38,600.04 and 15,396.24 is: 21,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.32 : 38,600.04 = 15,396.24 : x
  2. Step 2: Convert to fraction form
    27,970.32/38,600.04 = 15,396.24/x
  3. Step 3: Cross multiply
    27,970.32x = 38,600.04 × 15,396.24
  4. Step 4: Simplify right side
    27,970.32x = 594,295,479.85
  5. Step 5: Solve for x
    x = 594,295,479.85/27,970.32
  6. Step 6: Final answer
    x = 21,247.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.